Work

Numerical Study on Excitation–Contraction Waves in 3D Slab-Shaped Myocardium Sample with Heterogeneous Properties

Year: 2025

Type: article

Abstract: In this study, we have performed 3D numerical simulations of the excitation and contraction of thin slab-like samples of myocardium tissue. The samples included a narrow region of almost non-excitable tissue simulating impaired myocardium. In the numerical experiments, we considered the heterogeneity of myocardium excitation and the Ca2+ activation of its contraction, as well as the orientation of the muscle fibers. Those characteristics varied throughout the thin wall of the sample. The simulations were performed in our numerical framework for the problems of cardiac electromechanics developed recently. The framework was previously tested for the benchmark problems in which formulations took into account only myocardium electrophysiology and passive mechanics. The study could be considered as an approbation of the framework performance with the fully coupled mathematical model of myocardium electromechanics. Here we dealt with the problems requiring a multiscale approach, taking into account cell-level electrophysiology, cell-level mechano-chemical processes, macromechanics (strain and stress) of the 3D sample, and interconnections between the levels. It was shown how the tissue heterogeneity and its strain affected the propagation of excitation–contraction waves in the sample, including, in particular, the formation of spiral waves.

Source: Mathematics

DOI: 10.3390/math13162606

Authors: Fyodor A. Syomin, Alexander A. Danilov, Alexey A. Liogky

Institutions: Lomonosov Moscow State University, Russian Academy of Sciences, Sechenov University, Institute of Numerical Mathematics, Sirius University of Science and Technology

Language: English

Topic: Cardiac electrophysiology and arrhythmias

Subfield: Cardiology and Cardiovascular Medicine

Field: Medicine

Domain: Health Sciences

SDG: Good health and well-being

Open Access status: gold

Estimated APC paid: $3,137